Theorems · Theorem · dynamical systems
Dynamics.coverEntropy_biUnion_finset
∀ {X : Type u_1} {ι : Type u_2} [inst : UniformSpace X] {T : X → X} {F : ι → Set X} {s : Finset ι},
Dynamics.coverEntropy T (⋃ i ∈ s, F i) = ⨆ i ∈ s, Dynamics.coverEntropy T (F i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- Set.iUnionstatement and proof · cited by 2,483
- iSupstatement and proof · cited by 2,415
- UniformSpacestatement and proof · cited by 2,040
- ERealstatement and proof · cited by 793
- Finset.supproof · cited by 530
- SupSetproof · cited by 154
- SupBotHomproof · cited by 54
- Finset.sup_eq_iSupproof · cited by 30
- Dynamics.coverEntropystatement and proof · cited by 22
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